Search a number
-
+
25330453413252 = 223131671399694999
BaseRepresentation
bin1011100001001101101001…
…01011010111110110000100
310022200120022211222100020120
411300212310223113312010
511310003232033211002
6125512352154101540
75223031151321661
oct560466453276604
9108616284870216
1025330453413252
118086648651a19
122a1126571a8b0
131119861492150
1463800149aa68
152ddd835a4cbc
hex1709b4ad7d84

25330453413252 has 96 divisors (see below), whose sum is σ = 64077888000000. Its totient is φ = 7741766201472.

The previous prime is 25330453413211. The next prime is 25330453413289. The reversal of 25330453413252 is 25231435403352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36099249 + ... + 36794247.

It is an arithmetic number, because the mean of its divisors is an integer number (667478000000).

Almost surely, 225330453413252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25330453413252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32038944000000).

25330453413252 is an abundant number, since it is smaller than the sum of its proper divisors (38747434586748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25330453413252 is a wasteful number, since it uses less digits than its factorization.

25330453413252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696585 (or 696583 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 25330453413252 in words is "twenty-five trillion, three hundred thirty billion, four hundred fifty-three million, four hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 167 334 501 668 1002 1399 2004 2171 2798 4197 4342 5596 6513 8394 8684 13026 16788 18187 26052 36374 54561 72748 109122 218244 233633 467266 694999 700899 934532 1389998 1401798 2084997 2779996 2803596 3037229 4169994 6074458 8339988 9034987 9111687 12148916 18069974 18223374 27104961 36139948 36446748 54209922 108419844 116064833 232129666 348194499 464259332 696388998 972303601 1392777996 1508842829 1944607202 2916910803 3017685658 3889214404 4526528487 5833821606 6035371316 9053056974 11667643212 12639946813 18106113948 25279893626 37919840439 50559787252 75839680878 151679361756 162374701367 324749402734 487124104101 649498805468 974248208202 1948496416404 2110871117771 4221742235542 6332613353313 8443484471084 12665226706626 25330453413252